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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 320, page id 175905688X:0342
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=342
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320
E R A H CTS CF d SCHOOFF p
PrOgUarEO X = + 3, quaectionem Facilius Colvi posse. Invenitur
enim aequatio x =, ∞ 2 =X x - f 99 75 omminour praecedens, de-
nominata a radice Z; unde quae liti numeri hune ue supra. Verum
difacile Paris Foret in hasce hrpotheles incidere, non secus quam
in superiorem Pappi conscructionem, (icut Auchor innuic Pa8. 83.
Restat jam exemplum aliquod exhibendum, ubi aequationem
ad Duadratam reducere non licet, e Problema Solidum existit.
Ouale est illud, quod ance annos aliquor sibi ad inrestisandum
propoluie Nobilissimus acque Amplissimus Vir D. Toannes de
Wic Conhiliarius ex Pensionarius sire primarius FJollandixe W est.
Friliae que minister, Machemacum peritistumus. d quo insignem
cractatum, breri, (i rolet Deus, expectare poteris, in quo P lano.
rum acque Solidorum Locorum per arrem Analyticam inrentio
nem aliter quam C arrelius exponit.
Vatis in superiori criangulo rectangulo ABC, seg.
mento balis DCva, de difterentia lacerum C F ∞ b;
invenirc AB, latus minus.
F.sto AB ∞X, Herque aquatiox + F 4 b v3 = 6bb
Lb+
2a q N v = 4b3
=2a ab
2aabb ∞ 0. Oux cum diridi nequeat perx 8 b, collo secundum
ejus terminum, Racuendo Z = b ∞ x, unde emeroic aequatio
2 4X = 2 a a Z Z - 2 a a bZ = a a b b ∞ O, quippe quae invenItuI
quaerendo lacus majus B C. FTanc porro reduco ad aliaMI, CreSFAN.
cum dimentiones habencem, juxta resulam p25. 79, Fetque ae qua.
110 y6 +a a y + + +a+
+ 4aabBYY = 4a = bb ~ 0. Juae cum dividi
nequeat per binomium aliquod, constans ex quantitate incognit
yy 8 quancieate cognica, ultimum terminum 4 a t bb dividence, in-
dicio est, Problema propolitum esse Solidum, adeoque non niliper
Conicassectiones solvi posse. Nequeminus vicium eAt, Solutionem
ejus posthxe centare per lineas rectas de circulos, quam adhibere
Conicas sectiones ad construcionem eorum, quae per lineasrectas
d Circulos construi possune, ut monet D. des C artes p28. 79.
In numeris, elto DC∞ 5, C F∞ 2, AB ∞ Y ∞, eriequea
quatio 138 - f 8 C - 268-- 682 - 84 ∞0. Ouxe cum di-
vidi non possuc per 12 plus vel minus aliquo numero, ultimum
cerminum 84 diridence, autero secundum cerminum 8 sC, de tt,
+Q
50- f. 100 N - 100∞ 0. Flaec aurem ad tres di
Men